However, we can represent gravitational field by other approaches based on further geometric quantities like torsion and non-metricity.
These representations are dynamically equivalent to GR but some basic principles are completely different.
For example, the so-called teleparallel equivalent of general relativity (TEGR) assumes torsion as the field describing gravity. Here curvature and non-metricity are zero and one adopts the Weitzenböck connection as the affine connection [1]}, [2]}. In this case, the fundamental objects are tetrads by which it is possible to derive the affine connection, the torsion invariants and finally the field equations.
